Email this article On the Solvability of Some Dynamic Poroelastic Problems
- Authors: Vishnevskii M.P.1,2, Priimenko V.I.2
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Affiliations:
- Sobolev Institute of Mathematics
- State University of Norte Fluminense
- Issue: Vol 60, No 3 (2019)
- Pages: 429-449
- Section: Article
- URL: https://journal-vniispk.ru/0037-4466/article/view/172403
- DOI: https://doi.org/10.1134/S0037446619030078
- ID: 172403
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Abstract
We consider the direct problems for poroelasticity equations. In the low-frequency approximation we prove existence and uniqueness theorems for the solution to a certain mixed problem. In the high-frequency approximation we establish the uniqueness of a weak solution to the mixed problem and its continuous dependence on the data in the cases of bounded and unbounded temporal intervals and for however many spatial variables.
About the authors
M. P. Vishnevskii
Sobolev Institute of Mathematics; State University of Norte Fluminense
Author for correspondence.
Email: mikhail@uenf.br
Russian Federation, Novosibirsk; Campos dos Goytacazes, Rio de Janeiro
V. I. Priimenko
State University of Norte Fluminense
Author for correspondence.
Email: slava@lenep.uenf.br
Brazil, Macaé
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